What is expanded form?

Expanded form writes a number as the sum of its place values, like 352 = 300 + 50 + 2. Expanded notation shows each part as a digit times a power of 10, like (3 × 100) + (5 × 10) + (2 × 1).

What grade is this expanded form worksheet for?

It is written for grades 2–4 and matches Common Core standards 2.NBT.A.3, 4.NBT.A.2.

Can I get a different version of this expanded form worksheet?

Yes. Use the free Mathify Kids test maker to make a new expanded form worksheet with different numbers every time. You choose how many questions, and every version comes with its own answer key.

Expanded form worksheet

Forty questions on expanded form: 3-digit and 4-digit numbers, back to standard form, expanded notation with multiplication, 6-digit numbers and missing parts.

Download the free expanded form worksheet (PDF)

Expanded form worksheet

PDF · US Letter · Grades 2–4 · 40 questions · answer key included

Download the PDF

What’s on the worksheet

40 questions on expanded form, sized for US Letter paper
2 pages of questions plus an answer key on the last page
Written for grades 2–4, matching Common Core 2.NBT.A.3, 4.NBT.A.2
Name and date lines at the top, and room to show the work

Sample questions from this worksheet

Write 375 in expanded form.
5 + 700 + 40 =
Write 6,054 in expanded form.
Write 4,307 as (4 × 1,000) + (3 × 100) + …
Write 405,020 in expanded form.
6,000 + ___ + 40 + 2 = 6,742

Preview the worksheet and answer key

Make a new expanded form worksheet

Need another page for extra practice, a retake or a second group in class? The free Mathify Kids test maker builds a fresh expanded form worksheet with different numbers every time. Choose how many questions, print it with its own answer key, or let your child take it on screen and see the score straight away.

Make a new version

Expanded form: a worked example (4,072 in expanded form)

Find the value of each digit: 4 thousands is 4,000, 0 hundreds is 0, 7 tens is 70 and 2 ones is 2.
Leave out the zero: there are no hundreds.
Write the parts with plus signs: 4,000 + 70 + 2.
With multiplication: (4 × 1,000) + (7 × 10) + (2 × 1).

How to use it at home and in class

At home

Part A suits grade 2, Parts B and C grade 3, and Parts D and E grade 4. For every answer, ask your child to add the parts back up and check that they get the original number. Part F is good for talking: the missing part is whatever value the gap’s place should have. The expanded form lesson shows each step with pictures. Ten problems a day works better than a whole sheet at once. Mark them together with the answer key, then ask your child to explain one they got wrong: finding the mistake themselves is where the learning happens.

In class

Use the first row as a warm-up, a full page for independent practice, or five questions as an exit ticket. For a retake or a second group, make a new version with the test maker so every child gets different numbers.

Mistakes to watch for

Writing the digits instead of their values, so 463 becomes 4 + 6 + 3.
Adding the wrong number of zeros, so 4,072 becomes 400 + 70 + 2.
Squashing the parts together, so 400 + 7 becomes 47 instead of 407.
Writing 0 × 100 for an empty place. It is not wrong, but most schools leave it out.

What to practice before and after expanded form

Before: comparing numbers. If this sheet is a struggle, go back a step.
After: number names, once this one is mostly right.
Learn it first: the expanded form lesson and the place value chart.